My private documentation site setup guide Outcome Local wiki/blog at ~/vault, one command on or off. Edits show up live the second you hit save. Git keeps history & lets friends add stuff. Pushes auto-build to Netlify so you can read it anywhere without opening ports. This one-time setup should take approx 3 min Install Hugo If you haven’t already installed Hugo on your system, use your own apropriate package manager. ...
Outcome • Remember the general Taylor formula and the Maclaurin special case • Know how to grab the first n terms for quick approximations • Recall the remainder term’s shape to bound your error Definition For a function $f(x)$ with enough derivatives near $a$: $$ f(x)=\sum_{k=0}^{\infty}\frac{f^{(k)}(a)}{k!}(x-a)^{k} $$ • If $a=0$ it’s called a Maclaurin series. The $n^{\text{th}}$-degree Taylor polynomial: $$ P_n(x)=\sum_{k=0}^{n}\frac{f^{(k)}(a)}{k!}(x-a)^{k} $$ Remainder / error after $n$ terms (Lagrange form): ...
Welcome! This post exists to test and demonstrate all the key features supported by the PaperMod theme in Hugo. This will help verify your theme setup and content rendering. 🧮 MathJax Test Einstein said $E = mc^2$ $$ \int_{-\infty}^{\infty} e^{-x^2},dx = \sqrt{\pi} $$ ✍️ Typography This is bold, this is italic, this is bold italic, and this is inline code. This is a blockquote. It supports multiple lines too. 🔢 Table of Contents (ToC should be visible if toc: true is set in front matter and showtoc is enabled in your config.) ...